42705972 has 72 divisors (see below), whose sum is σ = 118040832. Its totient is φ = 12960000.

The previous prime is 42705959. The next prime is 42705979. The reversal of 42705972 is 27950724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17847 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (1639456).

Almost surely, 2^42705972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42705972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59020416).

42705972 is an abundant number, since it is smaller than the sum of its proper divisors (75334860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42705972 is a wasteful number, since it uses less digits than its factorization.

42705972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42705972 is about 6534.9806426645. The cubic root of 42705972 is about 349.5394541226.

The spelling of 42705972 in words is "forty-two million, seven hundred five thousand, nine hundred seventy-two".